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A Note on Palindromic δ -Vectors for Certain Rational Polytopes

Fiset, Matthew; Kasprzyk, Alexander M.

Authors

Matthew Fiset

Alexander M. Kasprzyk



Abstract

Let P be a convex polytope containing the origin, whose dual is a lattice polytope. Hibi's Palindromic Theorem tells us that if P is also a lattice polytope then the Ehrhart δ-vector of P is palindromic. Perhaps less well-known is that a similar result holds when P is rational. We present an elementary lattice-point proof of this fact.

Citation

Fiset, M., & Kasprzyk, A. M. (2008). A Note on Palindromic δ -Vectors for Certain Rational Polytopes. Electronic Journal of Combinatorics, 15, https://doi.org/10.37236/893

Journal Article Type Article
Acceptance Date Jun 1, 2008
Online Publication Date Jun 6, 2008
Publication Date Jun 6, 2008
Deposit Date Nov 12, 2015
Publicly Available Date Nov 12, 2015
Journal Electronic Journal of Combinatorics
Electronic ISSN 1077-8926
Publisher Electronic Journal of Combinatorics
Peer Reviewed Peer Reviewed
Volume 15
Article Number N18
DOI https://doi.org/10.37236/893
Public URL http://eprints.nottingham.ac.uk/id/eprint/30719
Publisher URL https://www.combinatorics.org/ojs/index.php/eljc/article/view/v15i1n18
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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